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Simplify Rational Eq?
Please answer this question with a step by step guide on how you did it. 10pts will be given to the best explanation.
Simplify:
(4/((2(x+1)))-(2x-1)/(x^2-1)
This looks far nicer on wolfram:
2 Answers
- BeeLiz19Lv 79 years ago
assuming expression is
4/2/(x+1) - (2x-1)/(x^2-1)
fully factor everything
4/2(x+1) - (2x-1)/(x-1)(x+1)
NOTE that 2 goes into 2 once and into 4 twice
2/(x+1) - (2x-1)/(x-1)(x+1)
NOTE that our LOWEST common denominator is (x-1)(x+1):
(x-1)(2)/(x-1)(x+1) - (2x-1)/(x-1)(x+1)
combine fractions
[(x-1)(2) - (2x-1)] / (x-1)(x+1)
(2x - 2 - 2x + 1) / (x-1)(x+1)
-1 / (x-1)(x+1)
can't simplify further, give restrictions
